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2140144104 = 233727745989
BaseRepresentation
bin111111110010000…
…0000000111101000
312112011001120210110
41333210000013220
513340334102404
6552210414320
7104014632120
oct17744000750
95464046713
102140144104
119a9067a3a
124b88913a0
13281505177
14164339c80
15c7d46b89
hex7f9001e8

2140144104 has 64 divisors (see below), whose sum is σ = 6136905600. Its totient is φ = 609249024.

The previous prime is 2140144103. The next prime is 2140144133. The reversal of 2140144104 is 4014410412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2140144103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23542 + ... + 69530.

It is an arithmetic number, because the mean of its divisors is an integer number (95889150).

Almost surely, 22140144104 is an apocalyptic number.

2140144104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068452800).

2140144104 is an abundant number, since it is smaller than the sum of its proper divisors (3996761496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2140144104 is a wasteful number, since it uses less digits than its factorization.

2140144104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46282 (or 46278 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2140144104 is about 46261.6915384641. The cubic root of 2140144104 is about 1288.6876672635.

Adding to 2140144104 its reverse (4014410412), we get a palindrome (6154554516).

The spelling of 2140144104 in words is "two billion, one hundred forty million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 554 831 1108 1662 1939 2216 3324 3878 5817 6648 7756 11634 15512 23268 45989 46536 91978 137967 183956 275934 321923 367912 551868 643846 965769 1103736 1287692 1931538 2575384 3863076 7726152 12738953 25477906 38216859 50955812 76433718 89172671 101911624 152867436 178345342 267518013 305734872 356690684 535036026 713381368 1070072052 2140144104